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25661111040 = 283551723211
BaseRepresentation
bin10111111001100001…
…010111101100000000
32110020100220111200000
4113321201113230000
5410023221023130
615442154400000
71565622562545
oct277141275400
973210814600
1025661111040
11a979034594
124b81a30000
13255c4aa996
1413560babcc
15a02c62260
hex5f9857b00

25661111040 has 864 divisors, whose sum is σ = 102209942016. Its totient is φ = 6131220480.

The previous prime is 25661110997. The next prime is 25661111051. The reversal of 25661111040 is 4011116652.

25661111040 is a `hidden beast` number, since 2 + 5 + 6 + 611 + 1 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 25661110995 and 25661111013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121616535 + ... + 121616745.

It is an arithmetic number, because the mean of its divisors is an integer number (118298544).

Almost surely, 225661111040 is an apocalyptic number.

25661111040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25661111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51104971008).

25661111040 is an abundant number, since it is smaller than the sum of its proper divisors (76548830976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25661111040 is a wasteful number, since it uses less digits than its factorization.

25661111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 25661111040 its reverse (4011116652), we get a palindrome (29672227692).

The spelling of 25661111040 in words is "twenty-five billion, six hundred sixty-one million, one hundred eleven thousand, forty".